The distance traveled by the roller when it has made one turn is equal to its circumference. The formula to find the circumference of a circle is:
C = 2πr
where C is the circumference, π (pi) is a mathematical constant approximately equal to 3.14, and r is the radius of the circle.
We are given that the diameter of the roller is 5 feet. The radius of the roller is half of the diameter, which is:
r = d/2 = 5/2 = 2.5 feet
Substituting this value in the formula for the circumference, we get:
C = 2πr = 2π(2.5) = 5π
Therefore, when the roller has made one turn, it has traveled a distance equal to 5π feet (approximately 15.7 feet).